On commutativity of rings with generalized derivations

Let R be a prime ring, extended centroid C, Utumi quotient ring U, and m, n ≥ 1 are fixed positive integers, F a generalized derivation associated with a nonzero derivation d of R. We study the case when one of the following holds: (i) F(x)∘md(y)=(x∘y)n and (ii) (F(x)∘d(y))m=(x∘y)n, for all x, y in...

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Bibliographic Details
Main Authors: Nadeem ur Rehman, Mohd Arif Raza, Tarannum Bano
Format: Article
Language:English
Published: SpringerOpen 2016-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X15000097